q-thermostatistics and the analytical treatment of the ideal Fermi gas

Autores
Martínez, S.; Pennini, Flavia; Plastino, Ángel Luis; Portesi, Mariela Adelina
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We discuss relevant aspects of the exact q -thermostatistical treatment for an ideal Fermi system. The grand-canonical exact generalized partition function is given for arbitrary values of the nonextensivity index q , and the ensuing statistics is derived. Special attention is paid to the mean occupation numbers of single-particle levels. Limiting instances of interest are discussed in some detail, namely, the thermodynamic limit, considering in particular both the high- and low-temperature regimes, and the approximate results pertaining to the case q ∼ 1 (the conventional Fermi–Dirac statistics corresponds to q = 1). We compare our findings with previous Tsallis’ literature.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
Tsallis’ generalized statistics
Optimized Lagrange multipliers approach
Thermodynamics
Ideal Fermi gas
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/131430
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/131430
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repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling q-thermostatistics and the analytical treatment of the ideal Fermi gasMartínez, S.Pennini, FlaviaPlastino, Ángel LuisPortesi, Mariela AdelinaCiencias ExactasFísicaTsallis’ generalized statisticsOptimized Lagrange multipliers approachThermodynamicsIdeal Fermi gasWe discuss relevant aspects of the exact q -thermostatistical treatment for an ideal Fermi system. The grand-canonical exact generalized partition function is given for arbitrary values of the nonextensivity index q , and the ensuing statistics is derived. Special attention is paid to the mean occupation numbers of single-particle levels. Limiting instances of interest are discussed in some detail, namely, the thermodynamic limit, considering in particular both the high- and low-temperature regimes, and the approximate results pertaining to the case q ∼ 1 (the conventional Fermi–Dirac statistics corresponds to q = 1). We compare our findings with previous Tsallis’ literature.Facultad de Ciencias ExactasInstituto de Física La Plata2004-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf230-248http://sedici.unlp.edu.ar/handle/10915/131430enginfo:eu-repo/semantics/altIdentifier/issn/0378-4371info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0304672info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2003.10.026info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:12:07Zoai:sedici.unlp.edu.ar:10915/131430Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:12:07.842SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv q-thermostatistics and the analytical treatment of the ideal Fermi gas
title q-thermostatistics and the analytical treatment of the ideal Fermi gas
spellingShingle q-thermostatistics and the analytical treatment of the ideal Fermi gas
Martínez, S.
Ciencias Exactas
Física
Tsallis’ generalized statistics
Optimized Lagrange multipliers approach
Thermodynamics
Ideal Fermi gas
title_short q-thermostatistics and the analytical treatment of the ideal Fermi gas
title_full q-thermostatistics and the analytical treatment of the ideal Fermi gas
title_fullStr q-thermostatistics and the analytical treatment of the ideal Fermi gas
title_full_unstemmed q-thermostatistics and the analytical treatment of the ideal Fermi gas
title_sort q-thermostatistics and the analytical treatment of the ideal Fermi gas
dc.creator.none.fl_str_mv Martínez, S.
Pennini, Flavia
Plastino, Ángel Luis
Portesi, Mariela Adelina
author Martínez, S.
author_facet Martínez, S.
Pennini, Flavia
Plastino, Ángel Luis
Portesi, Mariela Adelina
author_role author
author2 Pennini, Flavia
Plastino, Ángel Luis
Portesi, Mariela Adelina
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Tsallis’ generalized statistics
Optimized Lagrange multipliers approach
Thermodynamics
Ideal Fermi gas
topic Ciencias Exactas
Física
Tsallis’ generalized statistics
Optimized Lagrange multipliers approach
Thermodynamics
Ideal Fermi gas
dc.description.none.fl_txt_mv We discuss relevant aspects of the exact q -thermostatistical treatment for an ideal Fermi system. The grand-canonical exact generalized partition function is given for arbitrary values of the nonextensivity index q , and the ensuing statistics is derived. Special attention is paid to the mean occupation numbers of single-particle levels. Limiting instances of interest are discussed in some detail, namely, the thermodynamic limit, considering in particular both the high- and low-temperature regimes, and the approximate results pertaining to the case q ∼ 1 (the conventional Fermi–Dirac statistics corresponds to q = 1). We compare our findings with previous Tsallis’ literature.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description We discuss relevant aspects of the exact q -thermostatistical treatment for an ideal Fermi system. The grand-canonical exact generalized partition function is given for arbitrary values of the nonextensivity index q , and the ensuing statistics is derived. Special attention is paid to the mean occupation numbers of single-particle levels. Limiting instances of interest are discussed in some detail, namely, the thermodynamic limit, considering in particular both the high- and low-temperature regimes, and the approximate results pertaining to the case q ∼ 1 (the conventional Fermi–Dirac statistics corresponds to q = 1). We compare our findings with previous Tsallis’ literature.
publishDate 2004
dc.date.none.fl_str_mv 2004-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/131430
url http://sedici.unlp.edu.ar/handle/10915/131430
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0378-4371
info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0304672
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2003.10.026
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
230-248
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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